Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

Abstract

We consider a two-component Bose-Einstein condensate in a double-well potential, where the atoms are magnetically coupled to a single-mode of the microwave field inside a superconducting resonator. We find that the system has the different dark-state subspaces in the strong- and weak-tunneling regimes, respectively. In the limit of weak tunnel coupling, steady-state entanglement between the two spatially separated condensates can be generated by evolving to a mixture of dark states via the dissipation of the photon field. We show that the entanglement can be faithfully indicated by an entanglement witness. Long-lived entangled states are useful for quantum information processing with atom-chip devices.

9 pages, 7 figures, minor revision

References in corpus (15)

• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Matter-wave interferometry in a double well on an atom chip
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity QED with a Bose-Einstein condensate
• Entanglement conditions for two-mode states: Applications
• Quantum Information Processing in Optical Lattices and Magnetic Microtraps
• Enhanced and reduced atom number fluctuations in a BEC splitter
• Cavity QED with an ultracold ensemble on a chip: prospects for strong magnetic coupling at finite temperatures
• Cavity-QED with cold atoms trapped in a double-well potential
• Mean-field dynamics of a Bose Josephson junction in an optical cavity
• Cavity QED characterization of many-body atomic states in double-well potentials -- The role of dissipation
• Quantum entanglement of nanocantilevers
• Ultracold atoms in a cavity mediated double-well system
• Quantum phase measurement and Gauss sum factorization of large integers in a superconducting circuit

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• Modelling assisted tunneling on the Bloch sphere using the Quantum Composer
• Nonlinear dissipative dynamics of a two-component atomic condensate coupling with a continuum